The original installer works fine in wine, so just install the game.
$ cd /path/to/rollercoasterdisc
$ wine Setup.exe

Now to the "tricky" part, you need two terminals, in the first one, start Xephyr:
$ Xephyr :1 -ac -screen 1280x1024x16
A black window appears, you're now running another X-Server in 16 bpp mode on display :1.

On the other terminal, go to wherever you installed RCT1 or 2
$ cd .wine/drive_c/blabha/RollerCoasterTycoon2/
Defining the DISPLAY variable will tell wine to start on screen :1 instead of :0.
$ DISPLAY=:1 wine ./Rct2.exe

Woho!
An interesting note is that I tried starting Xephyr in 8 bpp mode, but then I'd get the same black screen as with the standard method, don't ask.

The original installer works fine in wine, so just install the game.
$ cd /path/to/rollercoasterdisc
$ wine Setup.exe

Now to the "tricky" part, you need two terminals, in the first one, start Xephyr:
$ Xephyr :1 -ac -screen 1280x1024x16
A black window appears, you're now running another X-Server in 16 bpp mode on display :1.

On the other terminal, go to wherever you installed RCT1 or 2
$ cd .wine/drive_c/blabha/RollerCoasterTycoon2/
Defining the DISPLAY variable will tell wine to start on screen :1 instead of :0.
$ DISPLAY=:1 wine ./Rct2.exe

Woho!
An interesting note is that I tried starting Xephyr in 8 bpp mode, but then I'd get the same black screen as with the standard method, don't ask.